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Finding the Fourth Proportional to 1,415.08, 1,950.75 and 994.15

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Solution

The fourth proportional to 1,415.08, 1,950.75 and 994.15 is: 1,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.08 : 1,950.75 = 994.15 : x
  2. Step 2: Convert to fraction form
    1,415.08/1,950.75 = 994.15/x
  3. Step 3: Cross multiply
    1,415.08x = 1,950.75 × 994.15
  4. Step 4: Simplify right side
    1,415.08x = 1,939,338.11
  5. Step 5: Solve for x
    x = 1,939,338.11/1,415.08
  6. Step 6: Final answer
    x = 1,370.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.